dc.contributor.author | Bugajev, Andrej | |
dc.contributor.author | Čiegis, Raimondas | |
dc.contributor.author | Kriauzienė, Rima | |
dc.contributor.author | Leonavičienė, Teresė | |
dc.contributor.author | Žilinskas, Julius | |
dc.date.accessioned | 2023-09-18T20:46:07Z | |
dc.date.available | 2023-09-18T20:46:07Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 1392-6292 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/152457 | |
dc.description.abstract | A detailed analysis of absorbing boundary conditions for the linear Schrodinger equation is presented in this paper. It is focused on absorbing boundary conditions that are obtained by using rational functions to approximate the exact transparent boundary conditions. Different strategies are investigated for the optimal selection of the coefcients of these rational functions, including the Pade approximation, the L2 norm approximations of the Fourier symbol, L2 minimization of a reection coeficient, and two error minimization techniques for the chosen benchmark problems with known exact solutions. The results of computational experiments are given and a detailed comparison of the eficiency of these techniques is presented. | eng |
dc.format | PDF | |
dc.format.extent | p. 408-423 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Zentralblatt MATH (zbMATH) | |
dc.relation.isreferencedby | MatSciNet | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | ICONDA | |
dc.relation.isreferencedby | Scopus | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.source.uri | https://journals.vgtu.lt/index.php/MMA/article/view/904/684 | |
dc.source.uri | http://dx.doi.org/10.3846/13926292.2017.1306725 | |
dc.subject | FM03 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai ir metodai / Mathematical models and methods of physical, technological and economic processes | |
dc.title | On the accuracy of some absorbing boundary conditions for the Schrödinger equation | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.references | 19 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas Vilniaus universitetas | |
dc.contributor.institution | Vilniaus universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.researchfield | T 007 - Informatikos inžinerija / Informatics engineering | |
dc.subject.ltspecializations | L104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies | |
dc.subject.en | Finite diference method | |
dc.subject.en | Nonlocal boundary conditions | |
dc.subject.en | Approximation | |
dc.subject.en | Rational functions | |
dc.subject.en | Schrodinger equation | |
dc.subject.en | Absorbing boundary conditions | |
dcterms.sourcetitle | Mathematical modelling and analysis : the Baltic journal on mathematical applications, numerical analysis and differential equations | |
dc.description.issue | iss. 3 | |
dc.description.volume | vol. 22 | |
dc.publisher.name | VGTU | |
dc.publisher.city | Vilnius | |
dc.identifier.doi | 000401711100010 | |
dc.identifier.doi | 10.3846/13926292.2017.1306725 | |
dc.identifier.elaba | 22597821 | |